{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Understanding Weighted Directed Graphs for Polymer Implementations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Table of Contents:\n",
    "1. [Introduction](#introduction)\n",
    "2. [Programmatic Conversion](#progconv)\n",
    "3. [Weight and Direction Assignment](#wtassign)\n",
    "    - [Weight Assignment](#wtassign1)\n",
    "        1. [Weight Assignment to Monomer Elements](#wtassign11)\n",
    "        2. [Weight Assignment to Bonds](#wtassign12)\n",
    "    - [Calculating Bond Weights for Different Stoichiometry](#wtassign2)\n",
    "        1. [Weights for Alternating Polymer](#wtassign21)\n",
    "        2. [Weights for Block Polymer](#wtassign22)\n",
    "        3. [Weights for Random Polymer](#wtassign23) \n",
    "4. [Data Composition](#datacompose)\n",
    "    - i. [Without Self-edges](#datacompose1)\n",
    "    - ii. [With Self-edges](#datacompose2)\n",
    "5. [Graph Visualization](#datavis)\n",
    "    - [Graph Representation for Polymer Variations](#datavis1)\n",
    "7. [Summary](#sum)\n",
    "8. [Reference](#ref)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Introduction <a class=\"anchor\" id=\"introduction\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Everyday items such as water bottles, phone covers, and shoes are often made from synthetic polymers. The widespread use of polymers in various applications is due to their non-reactivity to external environments. This non-reactive property results in materials that are stress, thermal, and chemical tolerant, as well as highly stable, making them suitable for numerous use cases. The stability of polymers arises from the repetitive connection of identical molecules, resulting in minimal open bonds within the atom. This repetitive structure forms a chain-like architecture. From a chemical perspective, the formation and use of these molecules are relatively straightforward. However, their computational representation remains challenging and often fails to capture all aspects of the polymer.\n",
    "\n",
    "In our previous tutorials, we discussed various representational mechanisms and their limitations (You can find the tutorial by clicking on this [link](https://deepchem.io/tutorials/an-introduction-to-the-polymers-and-their-representation/)). Another representation mechanism involves using weighted directed graphs, which includes stoichiometry, polymer types, and the direction and weight of the bonds. In this tutorial, we will delve into the weighted directed graph representation of polymers in detail."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Understanding the necessity of using weighted directed graphs is crucial. Other representational data types often rely on repetitive monomer representations to depict a complete polymer chain, which is inefficient and unrealistic. Basic graph datasets can represent a single repeating unit of one or more monomers. To emulate the repeating patterns of different monomers at various open bonds, weights and directions can be assigned to different connection sites. Thus, by incorporating weights and directions into a basic graph data type, we can efficiently manage the repeating architecture of polymers."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The basic unit of a polymer is the monomer. When monomers repeat in large numbers, they form a polymer chain. In some instances, a polymer chain can be composed of various types of monomers in different proportions. Such polymers are known as copolymers. To illustrate this concept more clearly, we will use an example of a copolymer and create a representation mechanism using a weighted directed graph data structure."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take two monomer molecules. First given as SMILES notation `OB(O)c1cc(F)c(B(O)O)cc1F` and other one given as SMILES notation `Oc1cc(O)c(Br)c(O)c1Br`. For easier understanding, we can visualize it."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# installations\n",
    "! pip install rdkit "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# all imports\n",
    "from rdkit import Chem\n",
    "from rdkit.Chem import AllChem\n",
    "from rdkit.Chem import Draw\n",
    "from matplotlib import pyplot as plt\n",
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code for visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_mols(mols: list, labels: list, figsize=(10,10)):\n",
    "    \"\"\"\n",
    "    This function is used to display a list of molecules using matplotlib.\n",
    "    \"\"\"\n",
    "    if len(mols) > 1: \n",
    "        fig, ax = plt.subplots(1, len(mols), figsize=figsize)\n",
    "        for i in range(len(mols)):\n",
    "            mol = mols[i]\n",
    "            label = labels[i]\n",
    "            img = Draw.MolToImage(mol)\n",
    "            ax[i].imshow(img)\n",
    "            ax[i].set_title(label)\n",
    "            ax[i].axis('off')\n",
    "            ax[i].set_aspect('equal')\n",
    "    else:\n",
    "        mol = mols[0]\n",
    "        label = labels[0]\n",
    "        img = Draw.MolToImage(mol)\n",
    "        plt.imshow(img)\n",
    "        plt.title(label)\n",
    "        plt.axis('off')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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YwFgmg4FMBoE7dDHG2GtxILNCoyTC4fh4HI2PR1d7e9SxsICMg5gxxt5K8VZZx8YCDx8CNWoABgYvtoeESItsV64M5LQ3pqcDt25J2w0MpMW3vb1f3M+0ChHhdmoq1kZEoIa5Obra20Nfxt/3GGPsbRVvut2+Dfz8M3DwYO5APnFC2rZuHWBuDjx/Dvz6K3DzJmBvL63zmZwM9OoFDBkC8FzIWoWIkKBUwj88HLb6+ujn5AQDQQBfGzNW9ERBgCiTQQ/gc07HFW8gZ2ZKV7yvLMeHtDQgLg4gkv4/fTrw9CmweTPg4gIolcD+/cDUqYCTE9C+PcBVoVojRaXC8vBwxCoU+MHdHR6GhtxmzFgxOWVsjH9cXNBbLoeHpgvDPojm6hSJXtxeFh0NHDsGjBkDlC4NGBkBZmZAp05ArVrA7t1SdTbTCioiHIqLw5mEBPRwcEBVc3MOY8aK0aP0dOwMDUWiUqnporAPVPwNsllZwL59UsjmuHXrRTAHBkpV0u7uua+C9fWBunWBP/4AYmIAU9NiLTbLi4hwMzUV6yMj0czaGi2trbkTF2OMvSfNBPKRI4Ch4Yttjx69aFNOT5euivNbfMDcHFAopBvTKAIQmJmJpWFh+MTEBL0cHHidY8YY+wDFH8jm5sCcOYC19Ytt/v7AgQPS/+3sgJQUICNDump++YorPFy6suarY41LzsrC+ogIxCoUmODmBseXO+kxxhh7Z8XfhiwIUqiam7+4vXy17O4OlCoF/PNP7vblhATg6FHAz08KbaYx2dnZWLVqFa4cOYKR9vYob2LC7caMMfaBtG9Qr60t0Ls3sGqVFNx16khDnv74A4iIAObNy786mxULIsLRo0exZO5cdO/VC5/z5B+MMVYoijeQLSyAChXyjiO2swPKlAFkMilshw+XgvmPP6TqbEEAvLyAtWsBH59iLTJ7gYhw/fp1TJo0CX5+fvhu/HiYGBlpuliMMVYiFG8g164NbNsGmJjk3v7VV0DbtoCxsRS+xsbSVXLnzlKPagMDqc05MDDvMClWbBITEzF16lRkZ2djxowZsH65HwBjjLEPUrxtyHK51CHr1SpOAwMppF/eLgjSNg8PaTKQEyeAvn2BK1eKtchMkpGRgfnz5+P27dv46aef4MM1FYwxVqh0Z7JhHx+p5/XWrdLQqY9ASEgI9u/fjytXriAmJgZKDQ38VyqV2LJlC1avXo0RI0agU6dOkPE81YwxVqi0r1NXQdzdgcaNgTNnpGk1K1QosdNnEhHu3buHH374AZcvX4a1tTWcnZ1haWkJOzs7eHp6wt3dHV5eXvDy8oKNjQ309PQgCEKeW2GU5d9//8WsWbNQr149DBo0CPrcqY69BSICiSrQK81MgiCDwEtysmJERCASQa9M2ywIwn/HonZcYOhOIMtkwIABwIYNwKlTQLlyJXaRiZSUFCxevBjnz59Hu3btYGVlheTkZISHh+PevXu4fPkyMjIykJaWhszMTFhYWMDT0xMeHh4oXbo0PDw84OrqCnNzc5iZmcHCwgJmZmYwNzeH/B1WyyIihIWFYcyYMXB0dMS0adNgZWVVhK+clSTZmWk4unoyYkMDAEhBrG9oDCsnT5St1hjuPjVhaGzGwcyKnKhS4dqh9bh/Yd9/WwTIDQxhZmUPL996KFO1Ecys7DV+LOpOIANSe3LDhlK1db9+JXKCECLCjh07sHfvXowePRpTpkyB3n9fPJRKJRISEhAdHY3Y2FjExMQgISEBMTExCAsLQ0REBA4cOIDw8HDExcXBwsICdnZ2sLe3h62tLRwcHODo6Ah7e3s4ODjA2dkZbm5usLOzy7cKOiUlBfPmzcOjR4+wdu1alCtXTuMHLNMdpFIhKvABkmLC4flpLcgNjKDIysCTa6dw79we1G43BHU7j4Senm59DDFdJCIhKhThAXdQ5rOGMDIrBZUyGzEhj/HvxUOoWK8NmvadCDMre42WUrfOBBMTqef1qFHSxCFNmmi6RIVKFEWcPXsWs2bNwldffYWxY8fmCkq5XA47OzvYvTIxikqlQnZ2NrKyspCVlYXs7GwkJycjNDQUgYGBePLkCQIDA3H+/HmkpaX9V30j3QRBgJGRETw8PODt7Q0vLy+ULVsWHh4euHjxIjZv3oyffvoJX3zxBbcbs/di7eyJL3p9DzMre4iiCsmx4dg9dzj+2bsKlZt2g4WNo6aLyD4S+obGqNt5JBw8KoBIhCIrA0d+n4z75/agfK0vUb5WC41edOhWIMtk0gITFSoA69cDn3+ee5YvHUZEePr0KSZPngwXFxdMnDhRPayIiBAcHAxTU1NYWVmp24tz6OnpwdjYGMbGxrme89We0CqVCrGxsQgPD1dfUT9//hzR0dGIiYnBv//+i7///htRUVFITEyEXC5HmzZt0KdPn3eq6mbsZTKZHvSNTGBgLNVo6ekbwL1iDdw4tgUpceEwt3ZA4J0L0Dc0Ril7NwTevoCM1ES4V6wJJ+9PNVx6VqIIUijnHIsGxmb4pHoT3D+/F4lRoQARooIfIikmDK6fVEFYwC3ERwTB2skL3lUaQFbEzaS69ynr4gI0ayatlXzvHvDZZyWic1dWVhZ+/fVXhISEYOPGjXBzc1PfR0QYOXIkYmNjYWZmBjc3N3V7saOjIzw8PODs7AyZTAY9PT3o6elBJpNB9krHGT09PTg4OMDBwQFVqlRRP7dCoUBqaqq6XTolJQXx8fGYMGFCoXUOYx8xAqCulRGRnZ6K2LCnMDQ2g5m1dHV8ed9qKLIyoW9ghLCAW1BmZ+LLgVM5kFnhe6mGUFQpERl4H3pyfZSydwUEAQHXTuL2qZ1wLfcZgu5eRHpyAio16AAvv3ocyHnIZKCePaHYsAGJp0/D2tcXch3v9ZuZmYklS5bg8OHDmDFjBmrXrp0rBFUqFVq1aoWHDx8iPDwcz58/x7///ovExEQkJycjJSVFHdReXl5wc3ODp6cnnJycYGlpiVKlSuX6V19fX/38giDAwMAgzyQfRIQhQ4Zg6tSpePz4MapVq8bBzN5LamIMHvx9EIam5shMScTTW2cRHx6IBj3Gw/y/NjtFViZCHlyGb8OO6D19O/T0DWFizh0I34SIkJGRAaVSiezsbE0XR+upFAo8vnoCUUH/IisjDeEBt/D0+mlUa9EH7j61pH2UCiREhsDcygFtRy2AlaMbZHr60CuGWkLdC2QA5OaGXU2a4PCRI5jXqxccHBw0XaT3JooiTp8+jWXLlqFr167o3LlznuphfX19DBs2DIAUzklJSUhISEBsbKz635zq5+DgYJw/fx47d+5EVFQUTE1NYWNjAysrK9jY2MDGxgZOTk5wd3eHq6uruke2tbV1nqvhhg0bYsGCBdi3bx+qVatWrO+LxuQ3E9zLX0Ry7s9v26vbGQAgPjwQJ//4FYD0YSeKKti5fQIrB3fgpeEmpezdULPtQNi5c+fBNyEiKJVKnDp1Crt370ZsbCyWL1+On376CaVLlwYAfg/zochKx/kdv0GQySAqlVApFTA2LwVrJ0/oG76YBtjQ2AxVmvWAp2+dYn0fdTKQBZkMDp064VCXLmh3/jw6duyoswdfQEAAJkyYAG9vb/z888+wsLB47f56enqwtraGtbU1vL29AUgnpyiKUCgUUCqV6ltiYiKCg4Px9OlTBAcH48mTJ3j69Cnu3Lmj3jc7OxsKhQJmZmbw8vLCrFmz4OfnB0EQ4OHhgdatW2Pbtm0YNWoU7O012wOxyCmV0hj3c+eAgACpf0KdOkDNmoCVlRS2e/ZIvfubNcv9uE2bgMqVgf+aAtgLLuWqoPWIOTAtZQuVUoGowAe4sGsp9i0Zj6/GL4OXXz0AgIGRCeQGRnnOZVGl4nHL/yEiZGdn4+HDh1i0aBEOHz6M0qVLo23btvj777/RvHlzjBo1Cu3bt4ebmxu/Z68wMrVAlx/XwM69HEhUISkmDFcPbcDpzXOQnZmGOh1HAABkcjkMTcyL/f3TzUAWBHz66aeoWbMm1q1bh3bt2unkZBVxcXGYNGkSRFHE9OnTYWNj817PIwiCuu34Zba2tihTpgwaN26s3iaKIpKSkhAREYHo6GiEh4cjMjIS4eHhiI2NheFLneSMjY3RsmVL/PXXX9i7dy8GDhxYck9wIuDCBeD77wE3NylcU1OBKVOkJT9//RWwsZGG3Dk65g3k5cuBQYM4kPOhJ9eHiYU1zEpJowMsbJwgCAL2Lh6HWye3qwM5P1npKbh9ahfcK1aHvWcFyGQlc+6BtxUeHo61a9di48aNkMvlmDBhArp16wYHBwfcu3cP/v7++PXXX7F7926MHDkSzZs3h7m5uaaLrT0EAcbmpWBWyhYAYGZlDwtbJ0Q8uYPrRzejVrvBGi2eTgYyANjZ2aF58+ZYuHAhrl27hlq1aulMWBARMjMzsXLlSly4cAHz588vtjZamUwGKysrWFlZoWLFiuryKBQKZGZmwuSVtY3r1KmDsmXL4tChQ+jQoQNsbW2LvIwakZYG/PKLdDX800/SamMqlbToyfDhwJ9/SoHLCoWBkSnk+gbITE167X4JkcG4eXwrrh7aAN+GX+GzL/8HY/NSH1UwExFSUlJw8OBBLF26FCEhIWjbti2GDRuGcuXKqS9GfH19MWfOHLRv3x5z587F2LFjsW3bNvz888+oUKECDAwMdOYzsjCoFNmIDnmE0H+voVLDDvnuI13M6MPIxBwp8ZF5ZpUrbjo7sFQmk6F9+/YwNjbGrl27dK5Dw549e7BkyRL069cPXbp00egVfk7HLgsLizzt18bGxhg4cCD++ecf3LhxQ+MHbJG5cgWIjAS6d5fCWBCkxVCqVQO+/BLYvp1XGiskWekpeHrrHNKT4+FUxu+1+zp4+aDz96vg5VsH145sxJapvXD75E6kJyeU3GPxPzkdtk6cOIF+/fph5MiRsLe3x9atW7FkyRL4+Pjk+twQBAFmZmZo2rQp9u3bh8mTJyMyMhJffvklfvrpJ9y7d6/Ev2eAVAsY+/wpzu1YjM1TeuLWiW0FfvFTKbIR+u9VxIQ+hpN3Jcg0PLxTZ6+QAcDNzQ1ffPEFzp49i+DgYJQtW1brvwESER4+fIjp06ejVq1aGDFihFaXWRAE1K9fH1ZWVjh06BAaNWqkk80DbxQWJoWwq2vujln6+tK2v/6SApkIOHYM6NnzxT4qFfDsWfGXWUckRAbj3LaF0Dc2hTIzAwlRIQh7dANWjh7w+6LTax8rCAKsHD3QpO9PqFCnFS7+uQLH101DwLUTqNV+MFzKVoFMT67V59C7yhmSExISou5UaWVlhSVLlqBJkyaws7N77esVBAHGxsbo378/GjVqhHXr1mHDhg04ffo0hgwZgs6dO8PS0rLEvWcAoMzOxL3ze3Ht0B9IjApB5SZd4duwI8ytpY6/yqxMXNq7CiaWthCVCqTERSE84CbkBsao0aqfxmtedDqQBUHAwIEDsWXLFpw5cwZlypTR6oOMiBAaGopvv/0WJiYmmDFjBhwdHbW6zABgbW2Nbt26wd/fH+PGjYO7u7umi6QZgvAitBs1erFdoQAuXdJcubSUINODrWtZgICIp3cASMe53MAI1Vv1ReUmXVHKQTqWbFxKIzs9FXJ9g7zPIwgwMDKBZ6U6cC7jhyc3zuDyvt+xc9YQlKvZDDVaD4CNsyf05Hkfq2tEUURYWBi2bt0Kf39/GBkZYfDgwejfvz/s7e3fabY8PT09eHt7Y8qUKejevTvmzZuHKVOmYP369Zg4cSJq166NUqVKaf3nz9vIzkxDyP3LuLRvNWJCHsO9Yk20Gj4TDp4VIdOTQ1QpYWnrDDuPcogJCYAgPAEAyPTk8KpcH1Wb9YBTGV8AgLmVAxw9K8LIVANt76TjEhMTqUOHDlSvXj3KyMjQdHFeKysri7755htycHCgvXv3aro47+T8+fPk7e1NCxcu1HRRisaJE0QVKhBdupR7e3Y20fffE33xBZFKRdS5M9GoUbn3SU8nqlaNyN+/+MqrA0SVitKT4yklPlp9S02MpeysDBJF8cV+okjpKQmUlhxPKqXyrZ47MSqUzm5bSIsG1KTlIxrR+Z1LKC05vqheSrHIyMigrVu3UtOmTcnW1pYGDhxIly5dIpVK9drHiaJIQUFBFB0dnet9fVVaWhpt376dWrRoQba2ttS7d2+6fPnyax+j7USViiKfPaCDK3+kuT0r0epvWtPds3soKz01936iSJlpKbmPxYQYykpPzfP6szJSKTUxlhTZmcX5UohIqhrRaSqViv744w/65JNP6Pr165ouToEUCgVt2LCB7O3tacaMGZSZWfx/7A+RlpZG3bp1o88//5wiIyM1XZzCl5REVLcu0XffESUmEokikVJJdOsWUfXqRMuWSds4kLWCKIqkyM6imNAA2vvbeFrQtyqtHt+aHvx9kDJSk3QmZERRpPT0dLp8+TJ16NCBnJ2dqWnTpnTu3DlKSUl5q9eRlZVFnTt3plq1atHevXspOTm5wMepVCqKiYmhFStWkK+vL5UuXZp+/vlnevr0KSnf8suQpomiSCqVkpLjIuncjt9o0YBa9NugOnRp3xpKjosk8Q1fYLSZQKT7rfyRkZG4f/8+qlSpAlNTU63rTSiKIi5cuICBAweifv36mDNnTp6ZsbQdEeHw4cMYOHAgFi1ahM6dO2vVe/zBiIDjx4EffwQqVQJq1ZKGPe3dC3h5AXPnAvb2QJcu0rCn33578diMDKB+fakX9mDNDpv42BARVEoFQh5cweV9qxH68BpK+9ZFjTYD4Fy2cr5V4NpCFEX1SmpbtmyBu7s7Bg4ciE6dOsHCwuKtzy+VSoWDBw9i/fr1OHfuHFq2bIk+ffqgYcOGeYZC5qD/5sdfuXIltm3bBktLS4wePRqtW7eGvb3mlyF8ncy0ZPx78RCuH9mI5LhI+HzeFp816wFb1zIAdHtClBIRyAEBAZg2bRqioqIgk8lgZmaGxo0bo3v37u90YBcFIkJERAR69+6N2NhY/PXXX/Dy8tJYeT5ESkoK6tevj8qVK2PJkiUwMzPTdJE+XE5HLUDqnHX7thTMz55JE4PUrg00bgw4OEjtx1u3AmZmQJs2L55DoQBWrQKqVwdq1NDM6/jIERHSEmMQcPUk/tm7CipFFj6p0Qx1OgyFqZUdBEF7JhYRRRGpqanYuHEj1q9fj4iICPTt2xe9evVC2bJl32tVNSJCTEwM9u7di0WLFiEzMxPdu3fHoEGD4Orqmm8wExGysrJw5coVrFixAidPnkTVqlUxYcIE1K1bN9cUu5pGRBBVCoQ/voVL+9Yg5MFlOHpXQu32Q+BWvir0DY3f/CQ6oEQE8s2bN9G7d2+MGDECZcqUwYMHD7B8+XIMGTIEY8aM0ehBlZqaijFjxuDUqVNYu3YtGjRooDUH+bsSRRHLli3DtGnTcPLkSVSqVEnTRfpwoggcPiz1pm7USBrqJIovQlomk24v75+zPQeRtF0Qcm9nxYr++3KVlhyPy3t/x4OLByAIMtRsMwDla7fQ+AL0RITk5GScPn0aCxcuxJMnT/DFF1/g+++/R/ny5fMsBvM+z59zAeDv74+tW7dCJpNh/PjxaN26NRwdHfMNe/pv9q99+/bh999/x+3bt9GuXTsMGDAAVatW1fhKb6JKieiQx7hzahdun9oBKydP1GzdH+Vrt4DcQJruUlc/U/Mo5iryInHjxg3y9fWly5cvE5HU3jl06FDq1KnTGztEFBVRFCk7O5v8/f3J0dGRFi9erPWdzt5EFEW6ffs2ffLJJzR16lSdaacrkCgSXblCVLo00bhxUlswKxEU2ZkU8uAq7Z43gmb38KHFk0bS4cOHKTMzs9iPW6nNU0V3796lvn37kr29PdWvX5/27NlDSUlF096tUCjo7Nmz1LdvX7KysqIWLVrQnj17SKlUFvj7RFGk58+f05w5c6h06dJUvnx5mjVrFkVGRmrkPRNFkeLj4+nCX6to+fCGtLBfNbqwcynFhwfp/mdPAUpMIFeqVIn27NlDgYGBdPHiRWrSpAnNnj1bY384URTpyJEj5OXlRYMGDaL0EvJhn56eTiNHjqSKFSvqducuUSR68oSocWOizz8nevhQ2sZKDFEUKTM9hR5ePUVtWzYlFxcX6tWrF925c4cyMjKK5bNBoVBQUFAQ/fjjj+Tl5UW+vr60YsUKioqKKvKLBVEUKTU1lQ4cOEANGzYkZ2dn6tOnD125cqXATqU5FxIBAQE0evRocnNzIz8/P9q+fTvFxcUVy3smiiIlJCTQrl27qE6dOjShbyva+9t4ig5+SEpFdpH/fk0qMYFcvnx5qlGjBn3xxRfk4eFBfn5+dPv2bUpLS6O9e/fStm3b6NSpU3T//n2Ki4sr8h6FQUFB9Nlnn1GDBg0oNDS0SH9XcTt+/Di5u7vT6tWrdfebamoqUf/+RC4uROfOabo0rIjFxMTQokWLqHLlyuTp6UkTJ06kwMDAIvt9OVd3K1eupBo1apCbmxuNHz+eHj16VGS/83Wio6Np8eLF9Omnn5KbmxtNnTqVnj59+trzV6FQ0NGjR6l79+5kbW1NX331FR05coQUCkWRlVOhUNCZM2eoV69eZG1tTa1ataKjR46U+CDOUWLakPv06YMffvgBlSpVQlJSElasWIH09HQsWLAAY8aMwc2bN2FgYAADAwMYGhrC2NgYzs7O8PT0hLe3N0qXLg1vb29YWVlBLpdDLpdDT08Pcrn8ndp2iAgJCQn49ttvcfHiRaxYsQL169d/r44a2iozMxMtWrSAjY0N/P3933tRDI1RqQB/f2nhiIkTgREjpLZjVqIpFAoEBQVhxYoV2LVrFxwcHDBq1Ci0adOm0CbIoP+mu7x+/Tp+/fVX3L59GzVq1FB/NhkbG2usvVOpVCIgIACbN2/G2rVr4ejoiBEjRqBLly4wNTUtsH05ISEBBw8exOLFixEXF4e2bdti5MiR8PLyKpT2ZSKCSqVCeHg4VqxYgW3btsHY2BgTJkxAixYtYGdnV6I+P1+nxARy37598fvvv6NGjRogIvz111+YMGECTpw4ARMTEwQFBeH58+cICQlBSEgIoqKiEBcXh8TERMTHxyMpKQmpqamwsrKCi4sLPDw84ObmBjc3Nzg6OqJUqVKwsbFBqVKlYG1tDUtLy3wPxqysLMyePRvLly/HggUL0L1795LT4eA/RIQtW7Zg3Lhx2L59u251VFOpgBMngCFDgA4dpFC2sOB1jD8SOR/+N2/exIIFC3Dq1ClUqVIFY8eORZ06dWBmZvbex3J2djbu37+PZcuWYd++fahUqZJ6xSUjo7zLSmoC/bdU6+XLl7Fy5UocPXoU1atXx+DBg9G0aVMYG+ftrZwTEbGxsVi1ahU2bdqErKwsfP311+plHt83MIkIUVFR2LVrF5YvXw6lUolu3bqpe4drw3tWnEpUIK9cuRLVq1dHZmYmZs+ejd27d+Py5cv5Lj+mUCiQmJiIpKQkJCQkICkpCUlJSYiKisLz588RGBiIkJAQBAcHIyEhAebm5ihVqhQsLS3V4ezs7AwPDw/Y29vD3d0dXl5euHHjBgYMGICuXbti5syZ+R7gJUFISAiaN2+OFi1aYM6cOQWOd9QmRAQEBkLo3VvasH074OKi2UIxjSAiJCYm4vDhw1i8eDHCwsLQqlUrTJgwAV5eXhAE4a3CIOfjMzExUX11l5ycjGHDhqFr167w9PQs4lfy/hITE3HkyBEsXLgQYWFh6NChg3oFqYJqBRUKBW7evIm1a9dix44d8PX1xZgxY9CyZUv1HPdv+74pFAqcPHkSK1aswD///IOmTZti2LBhqFWrVsmcL/8tlIhAvnPnDoYOHQpzc3OYm5sjPj4eaWlpGD9+/DtNYEH/DRtQqVRQKpXqf+Pj4xEcHIwnT54gODgYz549Q1hYGNLT05GRkYHMzExkZGQgOzsbRITq1atj9erVcHZ2hiAI6m+lHzqsQZtkZWVh+vTpWL9+PS5dugQXHQi25KQknBs3Dp9fvQrLNWuklZxKyN+DvR9RFJGYmIg1a9Zg06ZNSE5OxuDBg9GtWzd4eHi89sqPiBAXF4fjx49j7ty5iI+PR/PmzfHDDz/AxcUFenp6Wn2+53zexcXFYfPmzfD390d6ejpGjBiBrl27vnH88sWLF7Fw4UJcv34dtWvXxrhx41C1alUYGRm99ndmZ2fj7t27WLZsGQ4dOoTy5cvj+++/R8OGDbWmJkFjiqGdusgoFAq6desWxcfH04kTJ2jPnj20Z88eOn78eJFPBadQKCg6Opru3LlDJ0+epC1bttCCBQuoYsWK1KtXL0pNleZSzRkqtHTpUoqKiiqy8mjCmTNnqHTp0rR48WJNF+WNMjMzae7cuVTGzY3+2bFDmqOasf8olUq6c+cODR8+nBwcHOjzzz+nrVu3UnJycr77Z2dn07lz56hz585ka2tL7du3p+PHj+vsaAqVSkU3b96ksWPHkp2dHdWtW5c2bNjwxtcTGxtLy5YtoypVqqg7yz1+/LjAzmJhYWE0efJk8vb2pvLly9PSpUspLCxMdzuHFjKdDWSFQkGbN2+mqlWr0smTJzVdHCKSwnfWrFlUtmxZunLlinos3cmTJ8nGxoYOHjxYog689PR0+uqrr6hJkyYUERGh6eIUSKVS0e7du9U9XXX1Q5MVrZxhQmfPnqWWLVuSs7MztWrVii5fvkzp6enqIUFPnz6lUaNGkaenJ3322We0ceNGiomJ0flz++XX36pVK3J1daV27drR+fPnCzxnRFEkhUJBz549o0mTJpGrqyv5+PjQqlWrKCYmhlQqFalUKkpISKC1a9dStWrVyMPDg7755hv6999/i7THti7SyUAWRZH+/vtvKleuHHXu3JmSkpI0XSS1wMBAcnJyol9++UV9sEVFRVGdOnWoS5cuJeoAFEWR9u/fT/b29rR7926t/UC6e/culS9fnlq0aEFxcXGaLg7TcqIoUlpaGq1Zs4YaNGhA9vb2NHr0aDp27BjNmzePypUrRxUqVKBJkyZRVFSU+ot3SSGKIqWkpNDGjRupZs2aZG9vT+PHj6fbt28XWOsoiiIplUq6cuUKDRo0iOzt7alx48a0detW2r17N3311VdkbW1NXbp0obNnz5a496yw6Fwg5wwab9q0KVWpUoXu3r2rVX/YtLQ0GjBgAFWsWJESExOJSKremjlzJjk5OdHjx481XMLCFR8fT76+vjRgwACtu/IURZFiYmKoc+fOVKlSJbp48aJWHStMuymVSnr27Bn9/PPP5OLiQqVLlyZbW1vq2bMn3bx5U+dWbHtXKpWKAgICaObMmeTi4kKVKlWihQsXUmJiIqlUqgLPpaSkJNq9ezfVrVuX7O3tycXFhSpXrkw7duyg2NhYPgdfQ+cCOTExkUaOHEleXl508OBBjU2NWRBRFOngwYPk4uJCW7ZsUW+7desW+fj40E8//aQzy5y9DaVSSfPnzydbW1t6+PChpoujllP99u2335KLiwvt379f644Vpv1yrvz27dtHjo6ONHv2bI1Mv6kpOa//3r17NHjwYHJzc6M6derQ9u3bKSEhocDHqFQqSkxMpDp16lCTJk0oKCiIz7+3oFOjrZVKJXbu3Int27djxIgRaNKkidYNGBcEAdWrV0fFihWxY8cOpKamQhAEVKxYETVq1MCpU6cQGhqqHi6h62QyGRo0aABra2vs3r1bq17XgQMHsGHDBvTr1w/NmzfXumOFaT9BEKCnpwc3NzeYmJjA0dERhoaGH01P4JzX7+Pjg4ULF2Lp0qUwNjbGiBEjMG7cOFy5cgUqlSrXeS8IAmQyGSwtLWFlZaWev4HPvzfTmXeIiHDt2jVMmzYNrVq1wuDBg2FgoJ1rndra2qJTp064ffs2Ll++DCKCvr4++vbti8ePH+PcuXNaFVzvgoiQkpKC7OxsANLJ5+Pjg4YNG2Lnzp2IiIjQcAkl2dnZ2LVrF1q0aIFRo0bpxDhpxrSZiYkJWrduje3bt2P+/Pm4cuUKvvrqK0ycOBERERE6+5mmTXRmvsCM0FDMmDgRXl5e+OGHH7R6LV5BENC+fXvMmjULR44cQd26dWFkZIRq1arBx8cHu3fvxldffaXVr6EgSUlJmDt3LlxcXDBs2DAIggAjIyO0b98e+/fvx6RJk/DZZ5/BwcEBdnZ2cHR0hIODQ5GsS53zJe358+fqcri6uqJixYowMDDA8uXLkZGRAXt7+0L9vYy97OnTp3jy5AkaNGjw2jG4JYFMJoONjQ169eqF2rVr448//sCuXbvg5eWFQYMGfTQ1B0VF+wOZCEhMhP7s2fg5KQnKRYtQpkwZrf/D29jYoEOHDti/fz9Gjx4NNzc3GBkZoUePHvj+++8REBCAKlWqaLqY70SlUmHHjh3w9/fHtGnT1NuVSiWCgoKQlpaGffv2Yf/+/TAyMoKhoSGMjIxgZGQEOzs7eHl5wcPDA2XKlIG7uzvc3NxgYGCgnjM85993mSVp9erVuHbtGjw9PZGYmIjExET07dsXw4YNg52dXVG+HYwBAE6ePIlly5bh6NGjcHR01HRxioUgCChbtiwmTpyIbt26wdbWlqukC4H2B7IoAmvWQH/7dlSfPRuoW1frwxiQvkl26dIF27Ztw8GDBzF06FAIgoAGDRrA29sba9aswW+//aYzBzER4e+//8Yvv/yCLl26oGfPnhAEAaIo4tSpU5g3bx66deuGOXPmICMjA8HBwQgNDUVgYCCCg4MRGRmJhw8f4tKlS+qpSjMyMtRzh3t5ecHV1RVeXl5wcnJCqVKlYGVlpZ473NzcPN/3KiUlBY0bN8Yvv/wCQRCwatUqrF27Fl988QV8fHw08E6xj01mZibi4+MhiqKmi1LsDA0NUbFiRU0Xo8TQ7kAmAs6cAZYuBTp3htCpk6ZL9NZyvkHWrVsXmzdvRp8+fWBsbAwvLy/Ur18fx44dQ2BgILy9vTVd1DciIgQEBGDy5MkoXbo0xo0bBzMzMxARoqOjMXXqVNja2uK7776DpaUlLC0t4ejoiJo1a6qfIysrCwkJCerFPBITExEdHY3Q0FD1nOF37txBaGgoRFFUdwjJCWQ7Ozt4eHior6w9PDzg7OwM4EUnErlcDg8PD4iiCIVCoam3i7GPhi5cHOkS7Q1kIuDePeCnn4By5YCff9a5VXmsrKzQvn17/PDDDzhx4gRat24NAwMDdO/eHTt27MD+/ft1osNRYmIipk2bhsDAQOzevRve3t4QBAGJiYn48ccfERsbixUrVrx2In1DQ0M4Ojqqq/RyOoC8PGe4SqVCdnY2YmNjER4ejmfPniEoKAgBAQF4+PAhbty4gczMTGRnZ0OlUmHRokUAgPv372PTpk2IiorC7t270aJFC5QvX76o3xbGGCtU2hvIaWnA9OlATAywZAnw39WQLhEEAc2aNcOcOXNw4MABfPHFFzA1NUXlypXh5+eHo0ePonv37nBwcNB0UQukUqmwdu1aHD16FNOnT0flypUhCAKysrKwbt06HDhwAL/++us7r/mc881aX18/z8oudnZ2qFChAho3bgxACu/MzExER0cjKioKMTExiI+Ph6+vr7pn99WrV5GZmame0D85ObnEd7BhjJUs2hnIWVnA4sXAhQvAjBlA5cqaLtF7s7GxQefOnbFhwwYEBATAz88Penp6GDBgAPr374979+7B3t5eK6t+VCoVDh48iGXLlqFnz57o3r07ZDIZiAgXLlzA/Pnz0bVrV/To0aNQFioviCAIMDY2hoeHBzw8PNTbc9rsGjVqhEmTJkEQBDx//hxt2rSBj48P/ve//2nl+8oYY/nRvh5FRMCxY8DKlcCgQUDXroCWV+m+SefOnZGWlobDhw+DiCAIAmrUqAEfHx+sXbtWK8fvERHu37+PKVOm4JNPPsHEiRPVi7c/evQI33zzDfz8/PDdd99pfM1nuVwOY2NjmJubw8XFBXK5HImJiRotE2OMvavCD2QiqWf0qyEjitItv31VqtyP8fAA+vcHRo4EjI11qt34VYIgwNnZGc2bN8eWLVuQnp4OALC3t0fz5s1x4cIFPH36VMOlzI2IkJ6ejmnTpiEjIwNTp06FtbU1ACA6OhozZ85EamoqJk+erF7zWZOCg4Nx5swZHDhwAJMnT4aenp66ap0xxnRF4Qfy3bvAjh1SyL7s3Dng6NEXPysU0r6rVwO//AL89htw9iyQng5UqiR14rKxKfTiaYKpqSnatWuHxMREHDhwAIB0VdemTRsYGxtj69atUCqVGi7lC+np6Zg5cyYuX76MKVOmoFq1ahAEAQqFAsuWLcPhw4cxY8YMVKtWTePDtnx8fBAXF4eFCxfC398fycnJWLlyJerUqaPRcjHG2Lsq/E/TixeBBQuAVwNm1y5gwwbp/yoVcOgQMHCgNKxJTw949AgYOxaYO1d6rFyu01fGLxMEAXXq1EGZMmXw559/que39vHxQbVq1XDy5EmEhYVpRdV1TrvxmjVr0LdvX7Rr1w56enogIhw5cgSrVq1Cnz590Lp1a42HsSAImDBhAvbt24c///wTf/75J37//XdYWFjg3r17H+W4UMaY7ir+T1QiIChI6qzVsSPg7w/8+CMwfz7w66/Azp3AwYN5q7x1nI2NDbp06YJr167h+vXrICLI5XIMGDAAd+/exT///KPxQCYiPHjwAD/++CPq1q2Lr7/+GkZGRiAiXLlyBZMnT0adOnXwzTffaLzdGJACWV9fXz0bmL6+PlQqFWbNmoUpU6YgKSlJ00VkjLG3pplLnHv3gKQkoFMnwNxcuho2MQGaNwfKlAGOHwf+W7ygpBAEAR06dIBKpcKRI0fUE1dUrVoVvr6+2LZtG7KysjRaxufPn+O7776DtbU1Jk2apG43jo2NxdSpU6FQKDBjxgw4ODhobfusnp4eWrRogdOnT+Phw4eaLg5jjL21ognkoCBgxAhg8OAXtzNnXlz1Pn0KODlJIfyqihWByEhpHHIJY21tjQ4dOmD37t1ISEgAILUvd+rUCRcuXEBAQIBGykVESEtLw9KlS3Hjxg1MmTIFPj4+6nbjhQsX4u7du5g8eTI++eQTjZTxbQmCgFq1asHb2xtbtmzhamvGmM4omkA2NpaC9dNPX9ysrV+0CRMBBbU/ymTS/SWsyhqQJsHo2LEj0tPTsX//fgDSnNeNGzeGh4cH1q5dC9WrneGKARFh27ZtWLt2LSZMmIAvv/wSenp6yM7OxoYNG7B+/XqMGTMGbdu21dor4xyCIKB06dJo2bIljhw5onU92BljrCBFE8gODtIV8ujRL26+vi/u9/AAoqKAjIy8wfvkCWBnB5iaFknRNOnljlzbtm1DWloaBEFAmTJlULduXZw7dw6BgYHF2pac0z48Z84cNG/eHL1791ZP/nHnzh3MmzcPn3/+OQYOHKgzC7PL5XK0bt0aWVlZOHToEF8lM8Z0gmbakH19pZ7VL7cVK5XA5cvSUKjGjQFDQ40UrahZWVmhU6dOePLkCc6cOQMigr6+Pnr37o2IiAgcO3as2AKEiPDkyRNMnDgRtra2mD59OmxsbCAIAiIjIzFmzBhYWVlh+vTpsLCwKJYyFZaqVauievXqOHDgACIiIjRdHMYYe6PiD2RBADw9ga+/luaonjJFGos8Z460rVEjoGXLEjPk6VWCIKBly5YwMTHBoUOH1BOF+Pn54fPPP0dcXByyi6lDW1ZWFmbPno3Hjx9jxowZ8PDwUC8aMXPmTDx//hyTJ09WLyahS2QyGfr164fr16/jzp07Gu/Bzhhjb1L4gfzpp/lPd9mwIdCihfR/AwOgRw9pyJNCIXX4CgsDxo8Hpk0DzMwKvVjaxMrKCl26dMGxY8cQEhKiHgK1ZMkSDB8+HIbFUDugUCiwZs0aHDx4EN988416Ig2lUomtW7di27Zt+Pbbb9G4cWONjzd+X1WrVkWFChWwZcsWjbTNM8bYuyj8FQHq1pVur+rYMffPxsZAnTrS7SPUqVMnrF69GgcOHED58uUhCEKxrfqkUqlw9OhRzJkzB127dsWAAQPUKy5duHAB06ZNQ4cOHdCvX788KzHpCkEQYGdnh66dO2P/778j/elTWJQrp+liMcZYgQr/0kcQXtzy217QvgU9rgQSBAHu7u5o0qQJtm7divT09GKtUo2NjcWMGTPg7u6Ob775Bmb/1UgEBASoF5PQlsk/PoRcLke3hg2xwtwcJjt25J1LnTHGtIh2Lr/4ETA3N0erVq1w8uRJzJ8/H/Xq1YO5uTnMzMxgbm6u/r9MJiv09lsLCwv0798fn332GVxcXEBEiI+Px9SpUxEaGopt27ahTJkyOtdunB/7SpVgX6mSNFVrjx6At7emi8QYY/niQNYQIoJCoUBmZiZmzJgBIoKtrS1sbW1hZ2cHe3t7ODg4wN3dHU5OTnB1dYWzszOcnJwKvHJ92wA1NjbGoEGDcpVlw4YNOHbsGGbMmIGqVauWiDAGIPVl6N0baN8e+OcfwMur4DHwjDGmQRzIGpCz1vD8+fPh6+uLZcuWITk5GU+fPkVgYCBCQ0MRGhqKu3fv5upxnVOtbWtrC09PT5QpUwZeXl7w9vaGs7MzDA0NYWBgAENDQ/XtTVfYKpUKhw4dwuLFi9G7d29069at5IRxjipVAD8/aZ709u1LfKdBxphu4kDWgMTERPz000/IzMzE/PnzUa5cOQiCgBo1auTaT6lUIiYmBhEREQgLC0NYWBieP3+OqKgoxMbG4uTJk4iNjUVMTAyys7NhY2MDBwcHODk5wcXFBW5ubuqrbVtbWzg4OMDe3l5dFU5EuHbtGiZNmoRPP/0UEyZMgLm5uYbelSJkbCxVV0+YADx8CFSrpukSMcZYHhzIxYiIkJmZiSVLluDGjRuYNWuWes7o/Mjlcjg5OcHJyQmfffaZ+jmysrKQlpaGlJQUpKamIiUlBdHR0QgODsazZ88QHByMixcvIjw8HEQEExMTGBsbw8TEBCYmJrC3t4eTkxMAqVd1ZGQkVq1aBXt7+2J7L4qVnp7Um9/LC9i8GfjsM662ZoxpHQ7kYiSKInbu3IkVK1Zg6NCh6Nq1K+Tyd/sTCIKgXm7QxsYGwIuqbCLKdcvOzkZMTAzCw8MRGhqKZ8+eITAwEGFhYbh27RrCwsJgYmKCWbNmoXLlyoX9crVLuXJAs2bA3r3A0KHSz4wxpkU4kIsJEalnxKpRowZGjBjxzmFckJwr7FevtPX19WFqagpPT89c5UhPT0d4eDiCgoJgbm4OPz8/nR1v/Nb09KSx8Bs2ACdOAGXL8lUyY0yrcCAXAyJCeHg4xo0bBxsbG0ybNk19dVvcBEGAqakpypYti7Jly2qkDBpTuTJQrx5w6xaQnAyUKqXhAjHG2AscyMUgPT0d8+bNw507d7BmzRpUqlSp5PVk1gV6etLUrIDU0zozE9DXzzvNK2OMaQDX2RUxURSxe/dubNq0CV9//TUaN27MYaxJTk7SqmKdOgFffiktZDJnDhAeLi0FmpoqLR3655+5H5eYCHTpAly6pJFiM8ZKPr5CLkJEhKs3b2Lq1Kno2LEjBg4cWGjtxuw9qFTAjBnSsp/9+0vLgEZESKuN/f239K++PnDvHlCxYu7HKhTA9etAQoJmys4YK/E4HYoIESEiOxub0tNRuW1bfDtyJKytrTVdrI/b/fvA/v3ApEnSFbJcLl0Ve3kBgwZJQd2ypaZLyRj7SHEgF5EMUcSqiAgEWlpixpQpKG1hoekisbNnARMT4IsvpDAGpMVMKlWSJgs5dEgKZCIgNhZ4+vTFYxMSpCtsxhgrIhzIRUBJhEPx8fgnKQn9nJxQ0dyc2421QUyMVCVtZZV7u5ERYGMD3Lgh/axSSROInD37Yh+FAkhJKb6yMsY+OhzIhUwkwqXkZGyKisIXVlZoa2MDfR7vqh2MjKSwzcqSgjmHKErbchbt0NMD/vc/oGfPF/vExwOdOxdveRljHxVOikL2PCsLy8PC4Kivj8FOTjDmMNYePj5ARgbw7Fnu7bGxwJMn0pSagFSNbWsrLdWYc/P05OFRjL2CiKBSqaBUKjVdlBKB06KQEBHSVSqsjohANhEGOzujlFzOVdXapH59wNQU+OMPIC4OyM6WAnr/fimQ27XTdAmZDvLy8kLTpk1hZGSk6aIUGyKCUqlEQEAAvvvuO5w/f149hS97f1xlXUiyiLApKgpXUlIw1tUVlc3MOIy1jZUVsGAB8PPPQNeugJubVBUdHS1tq1QJSE+XQtvAIPdjZTLA3Dx3VTdjAFq1aoXmzZt/NEMaRVFEUFAQNm3ahNWrV8PW1ha1atWCKIrQ41qkD/JxHEFFjIhwNTkZu2Nj0dzaGo1KlYKMw1j7CAJQqxawZg1w86YUxiYmUhCXLy/1vDYxAb77DnB1zf1YMzNg1izg0081U3amtWQyGWQfQdNUzmp1f/75J9asWYO7d++iS5cuGDRoEHx9fT+K96CocSB/ICJCcFYWfgsLg6+pKXo6OECfw1h7yWRSe/BLC27koq8PNGiQd7uhIdC8eVGWjGmpnCVPVSoVsrOzQUQfVe1XzoI0t27dwqxZs3Djxg1UrlwZ+/fvh5+fH4yMjPJ9P3LalhUKBVQ8ZPCtcCB/oBiFAsvCwiAXBAx0coKtvj4+nlOVsZKNiHDv3j2sWrUKCQkJ2LlzJ9zc3NCkSZOPonpWFEU8evQIK1aswM6dO+Hl5YVZs2ahbdu2sLCwyDeIiQgJCQn466+/cO/ePRgYGGD9+vXo27cvT470BgJxS/xbURIhQ6XCy2+WACBKocD80FB0t7dHPUtLrqpmrAQQRRGxsbHYvn07li9fjvT0dDRp0gTXr19HUlISOnTogGHDhsHLy6tEth2LooiEhASsW7cOGzduREpKCgYMGIDu3bvD09Mz3+rpnCrtmzdv4pdffsHt27fh5+cHY2NjXL16FRUqVMCYMWPQsGFDmJiYfFS1DG+LA/kt3U1NxYyQEJjq6SGnW4+hTIZv3Nxgq68PQ5mMw5ixEiApKQlHjx7FwoULERQUhHbt2mH48OHw8fFBXFwc1q5di3Xr1iErKwtjxoxBx44d4eLiUiLaUIkISUlJOHbsGJYsWYJnz56hRYsW+Oabb1CuXDkAedddBwClUok7d+5g2bJl2LdvH/z8/DBs2DC0atUKgiDg9OnTmD9/Pm7evInWrVtj6NCh+Oyzz2DwaufJjxwH8lu6mpyM2aGhGOjoCGdDQwDSmDFvY2MYfwRVV4yVZEQEURRx7do1LF26FCdOnEDlypUxZMgQNG3aFKampup9lUolrl69io0bN2LHjh3w8/PD0KFD0aFDB+jp6enklV/O67979y7mzJmDkydPolKlSvjmm29Qt25dmBUwaoSIEBcXh99//x3btm1DSkoKBg8ejG7dusHDw0P9GCJCWFgYDhw4gAULFgAAunTpgtGjR8POzg5A/kH/seFAfktXk5OxOCwMv3h6onTOjE6MMZ2nUqnw6NEjbNu2DatXr4aTkxOGDBmCHj16wMTEpMDq2ezsbJw7dw4LFizA7du30ahRIwwdOhTVq1fXqTHJCoUCQUFB8Pf3x44dO+Do6Ihhw4ahffv2KFWq1GuD+MyZM5g5cyZiY2PRokULTJgwAe7u7gV+MVGpVAgLC8PixYuxb98+GBsb4+uvv0br1q1hb2//0YcyB/JbupqcjNkhIejr6Ain/66QreRyeBXQw5Axpv3i4+Oxc+dOLF++HLGxsRg4cCB69eqF0qVLv3UVdFxcHHbt2oUVK1YgLi4Offv2RZ8+feDt7a3Vnw051dObN2/Ghg0bEB4ejl69eqF///4oW7ZsgY9TKpX4559/sHjxYpw5cwYNGjTAkCFDUL9+/bf+IqJQKPDPP//gt99+w6lTp9CwYUMMHToUDRs2/KirsTmQ39LV5GR8++wZHP5rLwaA6hYWGOHszG3HjOmQnGE8Fy5cwOzZs/H48WM0atQIo0aNgq+v73td3SqVSgQHB+OPP/7AunXrYGlpiVGjRqFz586wtLTUqvZlIkJaWhouXbqEGTNm4PHjx6hXrx5+/PFHfPLJJwUOY1IoFAgJCcGSJUuwf/9+WFpaYsyYMWjZsiVsbGze+csHESExMREXLlzAL7/8gqioKDRt2hTfffcdPD09oa+vr9VfaIoCB/JbyqmynurpCa+XTlhBEHiYE2M6QqVS4dKlS9iwYQN27dqFGjVqYNCgQWjXrt0Ht//mfJReu3YN/v7+2Lt3r7odulWrVjDWgqYuhUKBmzdvYvny5Th48CCqVq2K4cOHo1mzZjA0NCywejo8PBw7d+7EsmXLAAA9e/bE8OHDYWtrC+DD2n+JCLGxsdi4cSPWr1+PlJQU9O/fH71794a7u/tHFcocyG+J25AZ02GiiJjISKxcvRqbNm8GEWHs2LFo06YNnJ2dC/UKNqcq+OzZs5g7dy6CgoLw5Zdf4uuvv0bFihU1MkwqZxjXsmXLsHPnTiiVSgwfPhwdO3aEq6trgUGcmZmJU6dOYe7cuXjw4AHatGmj7nFeUIC/L4VCgfv372PVqlX466+/UK5cOQwbOhQd2raFgbGxNNNeCceB/JY4kBnTQUTSXOUHD+LmmjX4ISUFn7VujSFDhsDNza1Iq5JzqmRzxjLHx8dj8ODB+N///gdPT89imViEiBAVFYVjx45h3rx5SEtLQ8uWLfH999/D0dERMpks31DNzMzEjRs3sGjRIpw7dw7Vq1fHqFGjUL9+/UIP4lfLq1QqcfnyZcycORMWYWFYWaECLIcNA6pVk5ZILcHBzIH8lq6lpGDJ8+eY4ukJLw5kxrQbkXQ7dQpYvhw4cwaqNm0Q2L8/POvWLdar1JzhRFu2bMH69evh7e2NAQMGoEePHur26sIOuJxgu3TpEubNm4cLFy6gQYMGGDNmDGrUqJFvO3lOFISEhOD333/H1q1bYWJigiFDhqBr167q4UnFIacaO+3ECbgvXAhZVBTQsSMwYgRQurS0UwkMZg7kt5QtikhRqWApl0NeAg8ExkqM7Gzg4UNg5UppaU1XV+Dbb4GmTaVFQjRw/ubMh33r1i3MmTMHV69eha+vL8aNG4datWrlGuf8obKysvDs2TMsWLAAR44cgZubG8aPH4/GjRvD0tKywOrp6OhoHD16FLNmzUJmZiY6duyIMWPGwMHBQXPjq1UqICICWLsW2LJFmot+8GBptTYHB+nnEoQDmTFWMhAB4eHA5s3A779L24YMAXr0AJyctOaKKi0tDfv27cPSpUsREBCA7t27o3///vj0008/qBo7Z/KNP/74A2vXroWBgQF69OiBQYMGwcHBocDHZWRk4OTJk/jtt99w48YNtGnTBkOGDEG1atW0Z1pQIuD2bWDJEulLlq+vFMytWkkrtGnJ3/ZDcSAzxnQbEZCRARw8CCxeDDx9CnTqBPTvLy2XqYVrWIuiiJCQEOzZswcLFy6EiYkJ+vTpg8GDB6uHSb3tFSkRISUlBcePH8f8+fMRHByMli1bYsyYMShTpgwM/5s34dXHKJVKPHnyBHPmzMGpU6fg5uaGsWPHonHjxihVqlQhv+JCQAQkJwNXrwIzZgCPHwOffw788ANQoYL0d9bxYOZAZozprqws4Nw56Yr49GnpA3rkSGkJTZlMqz+giQhEhICAACxbtgx79uyBk5MTRo4ciTZt2rx1KGZnZ2Pw4ME4ePAgGjRogLFjx6JGjRqQy+UFVk8HBASoJzOxtbVFz549MXjwYJiZmQHQ8mksiYCUFGDbNmDdOiA4GOjdG+jTB/jkE0CHpzLmQGaMfbiXP0by+zB/l/tfVlAwiKL0QbxyJbB9u9Q2/M03UhWmra1WB3F+0tPTcfbsWXW1cdOmTTF8+HDUqFHjje23SqUS69atg1wuR5s2bdRjg1+VMyHI/v37sXjxYgQGBqJHjx4YOHAgypUrpz3V029LFKWr5PXrgT/+ANzdpVDu1QswNS34GMjvWPvQY7aQjjcOZMbYhwsMlNr4qlcHXFzy3h8dDVy6BJQtC5Qvn/sDLCMDePZM+nANC5OucDw8gHLlpA/Zl6ucVSrpuXbtAn77TXqevn2lD2JHR52+Osqpej5w4ADmz5+PiIgIdWB6e3u/9opXpVJBEIR826BzgvjatWuYPXs27ty5g9q1a2Ps2LGoWrWqTs27nQcRoFAAjx4B06cDf/8tXSVPmADUrg1YWOQ+1pKTgYAA6RYVBRgZScdZmTJSP4Oc949I6hj45AlQsyZgb5/3dz9/Dly7Bvj5AV5ehfV6GGPsA61YQSSXE23fnv/9x44RmZkRTZ5MJIrSNlEkio4mmjqVqHRpIhMTIi8vIldXIiMjoipViPz9iVJTpf2zsoi2bCFq1ozIzo5o2DCiixeJVKpieYnFRRRFevbsGU2bNo08PDzIx8eHFi5cSPHx8e/1XDdv3qRRo0aRo6Mj1atXj9auXUupOe9pSSGKRCkpRLt3EzVqJB0fAwYQ3b794vh4+pRo+HDpPgsLojJliBwdpeOuQQPpsTn7iiLRzz8TmZsTnTiR/+/culU65v39C+1l6FgdBWOsxMjOljrnrF0LfPklMG6cNJRFFKUrk6lTge++k66KhwyRroT8/aXHbt4sXQG9rmpSRwmCAC8vL3z77bdo1aoVFi1ahAULFmDv3r0YO3YsGjVqVOByiDlEUURkZKR6ukuVSoWvv/4avXv3Vg9jKlEEQWq2aN9euqL96y/pWDl8WOrYFxEBfP89cPw40K8f8L//AdbWgFIJ/POPdHU9ejRgbg40aaKxl8GBzBjTjIsXpc5YX34pfXhaWb0IV29vwNNTGrI0YwbQooVUjf3771Jom5uXuCB+laGhISpXrozVq1fjxIkTWLRoEfr06YNWrVph8ODBqFWrVp6Vkei/2cGOHDmCBQsWICwsDJ06dcKQIUNQoUIFae79kvy+yWSAs7M0gUi7doChoXSc7NsH/PknMHYsMHOmVDX98rHm5AQMGADMng1UqiQdY5oovkZ+K2Ps40YkXcUYG0uTPLwcxoD0/zJlgK++knrUHj8ubStbNm+7YAkmCAL09fXRvHlzrF27Vj2pSP/+/TFlyhRERERApVKBiKBQKHDlyhUMGTIE48aNg4ODA1avXo2ZM2fCx8fnnYZS6TRBkG5ublLbLxGwY4cUsr165Q5jQArx+vWBevWABw+Au3c1VnS+QmaMFZ7ISKnDzKvCwqSq6BxJScC//0ofmD4++QesXA5UqSJ1vLlxQ3p8CZuZ6W0JggAXFxf0798fLVq0wMqVK7F9+3Zs2LABgwcPRrVq1bBp0yYcP34c5cqVw8yZM9G1a9cCl1L8qCQlSSFbpYoUyvm9H4aG0pC5nTulDoY5fZ1FUeq8ld8xHRlZ8OiA98SBzBgrHEqlNDHHH3/kvS85GcjMfPFzWhqQni5dIVtaFvycNjaAgQGQmCi1IeczycXHRE9PD66urpg8eTIaNWqEadOmYfr06dDX1wcRYcSIERgxYgQ8PDy0ag1mjUpIkI5NK6vXHz/OzlLAxsdL/RYAaQTAr79KTST5PW/OfoWEA5kxVjhkMmnYk49P3vuePZPGDb+rnKvqnGpIBgDQ19dHo0aNULlyZezYsQOPHz9Gu3btUKNGDZiYmGi6eNrlbY+bnHB9eX+5HKhT58WCFi+7dw8ICvrg4r2MA5kxVjhkMqnNt0uXvPcdPy6NHc5hbi71kI6Pl65+3dzyf874eKk3trW1Vk6BqUkymQw2NjYYNmyYpoui3aytpVqWuDhpZreChIdL7cs2Ni/GIxsaAj17Ao0b591/2zapo1gh4joNxljxMzOTJnCIjZUmdcivLU6lktr+MjKknq98hczeh5mZNBnNgwdSKOd3rOUMf7K2lnrza+hY40BmjBU/mQzo1k1qF960SZo16WVEwP37Uicbe3ugdWvNlJPpPplMmsktLg5YvTp3XwZA+uJ37Bhw/jxQrZrU+UtDOJAZY5pRvTrQvbv0Yfj999I0hOnpUq/YkyelNYwfPZImbHB21nRpmS5r3lya8GPdOmkSkAcPpOrr+HhpSNTEiVJHw5EjpbnQNYTbkBljH05fX6oaLGiBArlcajN+eSILAwNpNi4rK+lD8ciRF5249PSkD8a5c6WrG8belyBI85wvXQpMmgRs3AisWfPiWNPXB1xdpRnjGjeW9ieSjk9T04LnR9fXl+4vxL4NvLgEY+zDPXwoLR7RoEH+E+2Hh0tXvZ9+ClSunLuNTqmUxhnfuCEtHKGnJ10R164tTfzPbcessGRmAhcuSGPg4+Ol0C1dGqhbV1oUJedYIwJu3pSaTRo3zr+G5tkzaenPnOO0EHAgM8a0R87HEYcwK0pFsHRiYeBAZowxxrQAd+pijDHGtAAHMmOMMaYFOJAZY4wxLcCBzBhjjGkBDmTGGGNMC3AgM8YYY1qAA5kxxhjTAhzIjDHGmBbgQGaMMca0AAcyY4wxpgU4kBljjDEtwIHMGGOMaQEOZMYYY0wLcCAzxhhjWoADmTHGGNMCHMiMMcaYFuBAZowxxrQABzJjjDGmBTiQGWOMMS3AgcwYY4xpAQ5kxhhjTAtwIDPGGGNagAOZMcYY0wIcyIwxxpgW4EBmjDHGtAAHMmOMMaYFOJAZY4wxLcCBzBhjjGkBDmTGGGNMC3AgM8YYY1qAA5kxxhjTAhzIjDHGmBbgQGaMMca0AAcyY4wxpgU4kBljjDEtwIHMGGOMaQEOZMYYY0wLcCAzxhhjWoADmTHGGNMCHMiMMcaYFvg/gd0TK18+dnsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# loading monomer smiles as rdkit molecules\n",
    "mA = \"OB(O)c1cc(F)c(B(O)O)cc1F\"\n",
    "mB = \"Oc1cc(O)c(Br)c(O)c1Br\"\n",
    "molA = Chem.MolFromSmiles(mA)\n",
    "molB = Chem.MolFromSmiles(mB)\n",
    "\n",
    "# showing the molecule\n",
    "show_mols([molA, molB], [\"Monomer A\", \"Monomer B\"], figsize=(6,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The monomers depicted exhibit notable functional groups attached to their benzene rings. In monomer A, the functional group is boric acid, represented as  `B(O)O`, which consists of two hydroxyl `(OH)` groups bonded to a boron atom. This boric acid group is located at one end of the monomer. Additionally, fluorine `(F)` atoms are present as functional groups, but our focus will be on removing the boric acid group to create an open bond at that position.\n",
    "\n",
    "In monomer B, bromine `(Br)` atoms are positioned at both ends of the benzene ring, serving as halogen functional groups. Although hydroxyl groups are also present around the benzene ring, the primary interest is in breaking the Br bonds to form open bonds. The most suitable sites for these modifications are clearly indicated in the figures provided below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![monomerA](https://github.com/deepchem/deepchem/blob/master/examples/tutorials/assets/polymer_images/monoA.png?raw=1) ![monomerB](https://github.com/deepchem/deepchem/blob/master/examples/tutorials/assets/polymer_images/monoB.png?raw=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once the functional groups to be removed for creating open bonds are identified, we can proceed by eliminating these groups and connecting the resultant open bonds to illustrate the resulting polymer. By combining two monomers through their respective open bonds, we effectively form a longer polymer chain through monomer conjunctions. For the time being, we can join two monomers at a specified open bond and represent the remaining open bonds with a virtual atom.\n",
    "\n",
    "To achieve this, we will modify the SMILES string of the monomer by adding `At` to denote the virtual atom at the open bonds. To join two monomers at an open bond, we simply remove the functional groups at those positions and concatenate the SMILES strings. The resultant SMILES string and representation will be as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mAB = \"[At]c1cc(F)c(c2c(O)c([At])c(O)cc2(O))cc1(F)\"\n",
    "molAB = Chem.MolFromSmiles(mAB)\n",
    "show_mols([molA, molB, molAB], [\"Monomer A\", \"Monomer B\", \"Combined Molecule\"], figsize=(9,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using intuition and general chemistry knowledge, we attempted to combine two monomers into a single representation, using a virtual atom to indicate the open connections. However, for practical implementation using code and logic, a conversion process must be developed. It should be noted that the virtual At atom does not fully represent the structural type of the polymer or the connection pattern with other monomers."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Programmatic Conversion <a id=\"progconv\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To programmatically convert monomers into a single structure, we need to simulate the reaction process by eliminating the functional groups and marking the open bonds with indices. We will utilize SMILES Arbitrary Target Specification (SMARTS) to replicate the reaction and identify patterns within the molecules. The following steps outline the programmatic conversion process we will undertake.\n",
    "\n",
    "1. Defining SMARTS notation to emulate the reaction\n",
    "2. Gather resultant reactants and remove dupicate molecules\n",
    "3. Return the modified molecule SMILES"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For conversion of boric acid to open bonds The SMARTS (SMILES Arbitrary Target Specification) notation `[*:1]([B](-O)(-O))>>[*:1]-[*{i}]` is used (where `i` is an integer). Here's a breakdown of what each part of this notation means:\n",
    "\n",
    "**Reactant Side**: `[*:1]([B](-O)(-O))`\n",
    "\n",
    "`[*:1]`: This represents a wildcard atom (any atom) with a specific mapping label 1. The `[*]` notation means any atom, and :1 is a label used to map this atom to the product side of the reaction.\n",
    "`([B](-O)(-O))`: This specifies a boron atom `[B]` with two hydroxyl groups attached (-O and -O).\n",
    "This part of the notation is describing a generic atom connected to a boron atom with two hydroxyl groups. Essentially, it's looking for a structure in the molecule where any atom is bonded to a boric acid group.\n",
    "\n",
    "**Reaction Arrow**: `>>`\n",
    "\n",
    "The `>>` symbol separates the reactant (left side) from the product (right side) in the reaction notation.\n",
    "\n",
    "**Product Side**: `[*:1]-[*{i}]`\n",
    "\n",
    "`[*:1]`: This retains the wildcard atom with the mapping label 1 from the reactant side. It indicates that the atom with label 1 remains in the same place in the product.\n",
    "`[*{i}]`: This represents a wildcard atom with an implicit hydrogen atom. The {i} indicates that the wildcard atom is implicit, meaning the hydrogen atom is not explicitly shown but is understood to be present.\n",
    "\n",
    "Let's now code the transformation !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# utility functions to remove the duplicate molecules\n",
    "def remove_duplicate_molecules(mols):\n",
    "  '''\n",
    "  This function is to remove duplicate molecules that are generated during\n",
    "  the chemical reaction.\n",
    "  Returns only the unique product molecules.\n",
    "  '''\n",
    "  smiles = list(set([Chem.MolToSmiles(m, canonical=True) for m in mols]))\n",
    "  mols = [Chem.MolFromSmiles(s) for s in smiles]\n",
    "  return mols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "molA_s = molA # getting a copy of original monomer \n",
    "for i in [1,2]:\n",
    "  smarts = f\"[*:1]([B](-O)(-O))>>[*:1]-[*{i}]\" # SMARTS to emulate reaction of B(O)O to open bond\n",
    "  reaction = Chem.AllChem.ReactionFromSmarts(smarts)\n",
    "  resultants = reaction.RunReactants((molA_s,))\n",
    "  products = remove_duplicate_molecules([r[0] for r in resultants])\n",
    "  molA_s = products[0]  # getting the main product of the reaction\n",
    "\n",
    "show_mols([molA, molA_s], [\"Original Monomer A\", \"Converted Monomer A\"], figsize=(6,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "According to above illustartaion, we can notice replacement of Boric Acid Group `(B(O)O)` with a corresponding index number. \n",
    "\n",
    "Similar process can be replicated in case of monomer B to replace \"Br\". The SMARTS notation that can emulate the replcement of bromine with corresponding atom index can be given as `[*:1]Br>>[*:1]-[*{i}]`. This SMARTS pattern `[*:1]Br>>[*:1]-[*{i}]` describes a chemical transformation where a bromine (Br) atom attached to any part of a molecule is replaced by a bond to an implicit atom `[*{i}]`. The `[*:1]` notation signifies any atom with an open bond, and the reaction arrow `>>` indicates the transformation. In summary, the bromine atom is replaced by a generic bonding site, denoted by `[*{i}]`, to indicate an open bond or a connection point for further reactions. The implementation is done in the following code block.\n",
    "\n",
    "<a id=\"comb-img-sec\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# there are potential two open bonds in our monomer B\n",
    "molB_s = molB\n",
    "for i in [3,4]:\n",
    "  smarts = f\"[*:1]Br>>[*:1]-[*{i}]\" # SMARTS to emulate reaction of Br to open bond\n",
    "  reaction = AllChem.ReactionFromSmarts(smarts)\n",
    "  resultants = reaction.RunReactants((molB_s,))\n",
    "  products = remove_duplicate_molecules([r[0] for r in resultants])\n",
    "  molB_s = products[0]  # getting the main product of the reaction\n",
    "  \n",
    "show_mols([molB, molB_s], [\"Original Monomer B\", \"Converted Monomer B\"], figsize=(6,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This way we have replaced the Bromine with an indexed open bond where the polymer chain can connect to make a larger polymer molecule. To represent both monomers while keeping a valid SMILES, we can join both SMILES strings with a `.` in between and represent it as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Combined AB SMILES: [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "molA_smiles = Chem.MolToSmiles(molA_s)\n",
    "molB_smiles = Chem.MolToSmiles(molB_s)\n",
    "combined_AB_smiles = molA_smiles + \".\" + molB_smiles\n",
    "combined_AB_mols = Chem.MolFromSmiles(combined_AB_smiles)\n",
    "print(\"Combined AB SMILES:\", combined_AB_smiles)\n",
    "show_mols([combined_AB_mols],[\"Combined AB Mols\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Weigths and Directions Assignment <a id=\"wtassign\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our previous steps, we developed a monomer wireframe capable of referencing different indexed open bonds to form various types of polymer chains. However, our goal is to condense the complete polymer chain architecture into a smaller yet robust representation using weights and directions. Weights can be assigned at two levels: to individual monomer atoms and to each bond. While the direction is generally consistent across different monomers, there is an edge case where a bond refers to itself (known as self-loop or self-edge in graphs), where an open bond connects with the same open bond of another monomer with an identical structure. For example, in the image below, the node labeled 0 is connected to itself by a self-edge."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![self-edge-image](https://github.com/deepchem/deepchem/blob/master/examples/tutorials/assets/polymer_images/digraph.JPG?raw=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Weight Assignment <a id=\"wtassign1\"></a> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####    1. Weight assignment to monomer elements <a id=\"wtassign11\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"monomer-img\"></a>\n",
    "Polymers can be composed of monomers contributing in varying proportions. The proportion at which each monomer contributes corresponds to the weight of the elements of the respective monomer. The distribution of weights is generally straightforward. For instance, if `monomer A` and `monomer B` contribute to the polymer in a `3:1` ratio, the weights assigned to the elements of `monomer A` and `monomer B` are `0.75` and `0.25`, respectively. In this way, the contribution of each monomer fragment to the total polymer is represented by the weights of the nodes in the graph data.\n",
    "\n",
    "However, the stoichiometry of the polymer can impose limitations on the weights assigned to the elements. For alternating polymers, where monomers are arranged in a pattern like \"ABABAB...\", the fraction of element A must be close to the fraction of element B. In other cases, such as block and random polymers, the fractions can vary and have different float values. ( For easier understanding you can refer to the image below ) These fractions are scientifically significant when calculating certain properties.\n",
    "\n",
    "![weight-image](https://github.com/deepchem/deepchem/blob/master/examples/tutorials/assets/polymer_images/1-s2.0-S0032386117300381-gr1.jpg?raw=1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"atom-weight-show\"></a>\n",
    "For representational purpose we denote the weights of monomers with separator of \"|\". For example for alternating polymers the fragment weight should be represented as `|0.5|0.5|`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2. Weight assignment to bonds <a id=\"wtassign12\"></a> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the image above, we observe different stoichiometries of polymers. These arrangements significantly influence the properties of the polymer. Since we cannot replicate the complete repetition of the monomer, we must convert these stoichiometric constraints into edge weights in the node representation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When determining a weight or fractional value for representation, we must divide the total contribution by the applied/effective contribution. The total contribution value can be confusing since not all monomers are included in the chain. Therefore, we will use the same fragment ratio used for assigning weights to the monomer elements. For instance, if the element fragments are in a 3:1 ratio, we will consider monomer arrangements in multiples of 4. For block polymer weight calculation, we would use \"AAAABBBB\".\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###   Calculating bond weights for different stoichiometry <a id=\"wtassign2\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1. Weights for Alternating Polymer <a id=\"wtassign21\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For alternating polymers, the structure will resemble \"ABABABAB.\" Consequently, monomers A and B will never connect to themselves, so the case of self-edges does not apply here. Considering the probability of occurrence, the bonds between A-B and B-A will each be assigned a weight of `0.5`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Combined AB SMILES: [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Combined AB SMILES:\", combined_AB_smiles)\n",
    "show_mols([combined_AB_mols],[\"Combined AB Mols\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We represent the combination of atom indexes and bond weights for both forward and reverse bond formation as a single polymer rule, separated by colons. For example, if the weight of bond formation from A to B is 0.25 and from B to A is 0.75, it is represented as `1-2:0.25:0.75`. Multiple polymer rules are indicated by starting with a `<` and separating each rule similarly. For instance, `<1-2:0.5:0.5<3-4:0.25:0.75` signifies connections between index 1 open bond and index 2 open bond with a weight of 0.5, and between index 3 and index 4 with weights of 0.25 and 0.75 for forward and reverse bond formation, respectively."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For our example use case, there are four indexed open bonds, and self-edges are not present (i.e., 1-2 or 3-4 bonds cannot be formed). Therefore, the only possible bonds formed are 1-3, 1-4, 2-3, and 2-4. As previously determined, each bond will have a weight of 0.5.\n",
    "\n",
    "Similar to above representation, we can reprsent the polymer rules for our example as follows.\n",
    "\n",
    "`<1-3:0.5:0.5<1-4:0.5:0.5<2-3:0.5:0.5<2-4:0.5:0.5`\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polymer Rule String for alternate copolymer >> <1-3:0.5:0.5<1-4:0.5:0.5<2-3:0.5:0.5<2-4:0.5:0.5\n"
     ]
    }
   ],
   "source": [
    "# for alternate copolymer\n",
    "alt_edge_content = [(1, 3, 1/2, 1/2),  # within A\n",
    "                     (1, 4, 1/2, 1/2),  # within B\n",
    "                     (2, 3, 1/2, 1/2),  # between A and B\n",
    "                     (2, 4, 1/2, 1/2)]\n",
    "alt_edge_string = \"\".join([f\"<{e[0]}-{e[1]}:{e[2]}:{e[3]}\" for e in alt_edge_content])\n",
    "print(\"Polymer Rule String for alternate copolymer >>\",alt_edge_string)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2. Weights for Block Polymers <a id=\"wtassign22\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Block copolymers are characterized by the segregation of monomer types into distinct domains. In a binary system, this can be simplified as a linear arrangement where identical monomers are consecutively linked, such as 'AAAABBBB'. Here, monomers A occupy one region while monomers B occupy another. A visual representation is provided in the accompanying [image](#monomer-img).\n",
    "\n",
    "To model the weight distribution of an 'AAAABBBB' block copolymer, we represent it using eight monomer units. A total of eight bonds can be formed within this sequence. Six of these bonds are homogeneous (A-A or B-B), resulting in a bond probability and weight of 6/8. Conversely, only one heterogeneous bond (A-B) is possible, yielding a probability and weight of 1/8. The bond weight distribution based on atom indices is as follows:\n",
    "\n",
    "- 1-2: 6/8\n",
    "- 3-4: 6/8\n",
    "- 1-3: 1/8\n",
    "- 1-4: 1/8\n",
    "- 2-3: 1/8\n",
    "- 2-4: 1/8\n",
    "\n",
    "This information can be converted into polymer rule format using the following code block."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polymer Rule String for Block without Self Edges >> <1-2:0.75:0.75<3-4:0.75:0.75<1-3:0.125:0.125<1-4:0.125:0.125<2-3:0.125:0.125<2-4:0.125:0.125\n"
     ]
    }
   ],
   "source": [
    "# for block copolymer with no self edges\n",
    "block_edge_content_wo_self_edges = [(1, 2, 6/8, 6/8),  # within A\n",
    "                     (3, 4, 6/8, 6/8),  # within B\n",
    "                     (1, 3, 1/8, 1/8),  # between A and B\n",
    "                     (1, 4, 1/8, 1/8),\n",
    "                     (2, 3, 1/8, 1/8),\n",
    "                     (2, 4, 1/8, 1/8)]\n",
    "block_no_self_edges_string = \"\".join([f\"<{e[0]}-{e[1]}:{e[2]}:{e[3]}\" for e in block_edge_content_wo_self_edges])\n",
    "print(\"Polymer Rule String for Block without Self Edges >>\",block_no_self_edges_string)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we consider self-edges (i.e. the same monomer structure connects to itself at same open bond) the probabilty weight between homogeneous bonds will be altered. For example the connection for A-A at index 1 can be at two open bonds i.e. 1-2 or 1-1 (self-edge) hence the previous probability will be halfed resulting to 3/8. Rest of the heterogenous bond weights will remain the same. So resulting weights will be as follows.\n",
    "\n",
    "- 1-2: 3/8\n",
    "- 1-1: 3/8\n",
    "- 2-2: 3/8\n",
    "- 3-4: 3/8\n",
    "- 3-3: 3/8\n",
    "- 4-4: 3/8\n",
    "- 1-3: 1/8\n",
    "- 1-4: 1/8\n",
    "- 2-3: 1/8\n",
    "- 2-4: 1/8\n",
    "\n",
    "This information can be converted into polymer rule format using the following code block."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polymer Rule String for Block with Self Edges >> <1-2:0.375:0.375<1-1:0.375:0.375<2-2:0.375:0.375<3-4:0.375:0.375<3-3:0.375:0.375<4-4:0.125:0.125<1-3:0.125:0.125<1-4:0.125:0.125<2-3:0.125:0.125<2-4:0.125:0.125\n"
     ]
    }
   ],
   "source": [
    "# for block copolymer with self edges\n",
    "block_edge_content = [(1, 2, 3/8, 3/8),  # within A\n",
    "        (1, 1, 3/8, 3/8),\n",
    "        (2, 2, 3/8, 3/8),\n",
    "        (3, 4, 3/8, 3/8),  # within B\n",
    "        (3, 3, 3/8, 3/8),\n",
    "        (4, 4, 1/8, 1/8),\n",
    "        (1, 3, 1/8, 1/8),  # between A and B\n",
    "        (1, 4, 1/8, 1/8),\n",
    "        (2, 3, 1/8, 1/8),\n",
    "        (2, 4, 1/8, 1/8)]\n",
    "block_edges_string = \"\".join([f\"<{e[0]}-{e[1]}:{e[2]}:{e[3]}\" for e in block_edge_content])\n",
    "print(\"Polymer Rule String for Block with Self Edges >>\", block_edges_string)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3. Weights for Random Polymer <a id=\"wtassign23\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The weight calculation for a random polymer chain is straightforward. Without self-edges, any indexed bond can connect to another open bond of the same monomer (e.g., 1-2 or 2-1) with a probability of 1/2. Similarly, any indexed bond connecting with an indexed open bond of another monomer type (e.g., 1-3, 1-4, 2-3, 2-4) has a probability of 1/3. When considering self-edges, every indexed bond can connect with every other indexed bond (i.e., at 4 possible bonding sites), resulting in a probability weight of 1/4. (Refer to [this](#comb-img-sec) section for more clarification) Thus, with or without self-edges, we can determine the following weight distribution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With self-edge:\n",
    "- 1-1 -> 0.25\n",
    "- 1-2 -> 0.25\n",
    "... (same for all bond connection)\n",
    "\n",
    "Without self-edge:\n",
    "- 1-2 -> 0.5\n",
    "- 3-4 -> 0.5\n",
    "- 1-3 -> 0.33\n",
    "- 1-4 -> 0.33\n",
    "- 2-3 -> 0.33\n",
    "- 2-4 -> 0.33"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polymer Rule String for Block with Self Edges >> <1-1:0.25:0.25<1-2:0.25:0.25<1-3:0.25:0.25<1-4:0.25:0.25<2-1:0.25:0.25<2-2:0.25:0.25<2-3:0.25:0.25<2-4:0.25:0.25<3-1:0.25:0.25<3-2:0.25:0.25<3-3:0.25:0.25<3-4:0.25:0.25<4-1:0.25:0.25<4-2:0.25:0.25<4-3:0.25:0.25<4-4:0.25:0.25\n"
     ]
    }
   ],
   "source": [
    "# for random copolymer with self edges\n",
    "possible_bond_site_indexes = [1,2,3,4]\n",
    "random_edge_content = []\n",
    "for i in possible_bond_site_indexes:\n",
    "        for j in possible_bond_site_indexes:\n",
    "                random_edge_content.append([i,j,1/4,1/4])\n",
    "random_edges_string = \"\".join([f\"<{e[0]}-{e[1]}:{e[2]}:{e[3]}\" for e in random_edge_content])\n",
    "print(\"Polymer Rule String for Block with Self Edges >>\", random_edges_string)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polymer Rule String for Random without Self Edges >> <1-2:0.50:0.50<3-4:0.50:0.50<1-3:0.33:0.33<1-4:0.33:0.33<2-3:0.33:0.33<2-4:0.33:0.33\n"
     ]
    }
   ],
   "source": [
    "# for random copolymer without self edges\n",
    "random_edge_content_wo_self_edge = [(1, 2, 1/2, 1/2),  # within A\n",
    "        (3, 4, 1/2, 1/2),  # within B\n",
    "        (1, 3, 1/3, 1/3),  # between A and B\n",
    "        (1, 4, 1/3, 1/3),\n",
    "        (2, 3, 1/3, 1/3),\n",
    "        (2, 4, 1/3, 1/3)]\n",
    "random_edges_wo_self_edge_string = \"\".join([f\"<{e[0]}-{e[1]}:{e[2]:.2f}:{e[3]:.2f}\" for e in random_edge_content_wo_self_edge])\n",
    "print(\"Polymer Rule String for Random without Self Edges >>\", random_edges_wo_self_edge_string)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this manner, we can add weights to different components of the graph data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Data Composition<a id='datacompose'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our previous steps, we created a wireframe for monomers with indexed open bonds and calculated the weights for bonds and elements based on stoichiometry and monomer fragment distribution. Now, we need to integrate all these data representations into a single string format to construct a weighted directed graph in one go. We have information in three three parts now.\n",
    " \n",
    "1. The indexed monomer wireframe\n",
    "2. Assigned weights to elements\n",
    "3. Polymer rules containing polymer weights mapped with direction\n",
    "\n",
    "Considering easier understanding and processing, we concatenate these three parts into a single string. In our case, we have a monomer indexed representation of two monomers given as `[1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O`. For the second part the fractions of the two monomers were asssigned to be 0.5 for each. As per the representation we mentioned in weight assignment to bond [section](#atom-weight-show), it can be written as `|0.5|0.5|`.\n",
    "\n",
    "Finally, in the polymer rules section, there could be three variations of the same monomer corresponding to different stoichiometries. For each monomer example considered, there can be at least three types (i.e., Alternating, Block, and Random). Each type will have a different polymer rules string concatenated, resulting in different string representations from the same monomer string. We can achieve this using the following code block.\n",
    "\n",
    "*Note - There could be different cases, if there is self-edge possible for monomer stoichiomentry.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Repeatable weighted base representation >> [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O|0.5|0.5|\n"
     ]
    }
   ],
   "source": [
    "# for our example \n",
    "monomer_fragment_string = \"|0.5|0.5|\"\n",
    "poly_wireframe_w_weights = combined_AB_smiles + monomer_fragment_string\n",
    "print(\"Repeatable weighted base representation >>\", poly_wireframe_w_weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once we have the base string representation, we will append the polymer rule strings to the end of the base string. Since the polymer rules for this polymer have already been determined in previous code blocks, we will use those strings to construct the final string."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### i. Without self-edges <a id='datacompose1'></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The string representation of alternating polymer >> [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O|0.5|0.5|<1-3:0.5:0.5<1-4:0.5:0.5<2-3:0.5:0.5<2-4:0.5:0.5\n",
      "The string representation of block polymer >> [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O|0.5|0.5|<1-2:0.75:0.75<3-4:0.75:0.75<1-3:0.125:0.125<1-4:0.125:0.125<2-3:0.125:0.125<2-4:0.125:0.125\n",
      "The string representation of random polymer >> [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O|0.5|0.5|<1-2:0.50:0.50<3-4:0.50:0.50<1-3:0.33:0.33<1-4:0.33:0.33<2-3:0.33:0.33<2-4:0.33:0.33\n"
     ]
    }
   ],
   "source": [
    "polymer_alternate = poly_wireframe_w_weights + alt_edge_string\n",
    "polymer_block = poly_wireframe_w_weights + block_no_self_edges_string\n",
    "polymer_random = poly_wireframe_w_weights + random_edges_wo_self_edge_string\n",
    "print(\"The string representation of alternating polymer >>\", polymer_alternate)\n",
    "print(\"The string representation of block polymer >>\", polymer_block)\n",
    "print(\"The string representation of random polymer >>\", polymer_random)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ii. With self-edges <a id='datacompose2'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In case of self-edges, alternating polymer is not possible. We can include remaining cases of random and block polymer to form a string representation as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The string representation of block polymer with self-edge >> [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O|0.5|0.5|<1-2:0.375:0.375<1-1:0.375:0.375<2-2:0.375:0.375<3-4:0.375:0.375<3-3:0.375:0.375<4-4:0.125:0.125<1-3:0.125:0.125<1-4:0.125:0.125<2-3:0.125:0.125<2-4:0.125:0.125\n",
      "The string representation of random polymer wth self-edge >> [1*]c1cc(F)c([2*])cc1F.[3*]c1c(O)cc(O)c([4*])c1O|0.5|0.5|<1-1:0.25:0.25<1-2:0.25:0.25<1-3:0.25:0.25<1-4:0.25:0.25<2-1:0.25:0.25<2-2:0.25:0.25<2-3:0.25:0.25<2-4:0.25:0.25<3-1:0.25:0.25<3-2:0.25:0.25<3-3:0.25:0.25<3-4:0.25:0.25<4-1:0.25:0.25<4-2:0.25:0.25<4-3:0.25:0.25<4-4:0.25:0.25\n"
     ]
    }
   ],
   "source": [
    "polymer_block_w_self_edge = poly_wireframe_w_weights + block_edges_string\n",
    "polymer_random_w_self_edge = poly_wireframe_w_weights + random_edges_string \n",
    "print(\"The string representation of block polymer with self-edge >>\", polymer_block_w_self_edge)\n",
    "print(\"The string representation of random polymer wth self-edge >>\", polymer_random_w_self_edge)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These data string representations are not widely adopted, as the use of weighted directed graphs in these fields is relatively recent and specifically compatible with Weighted Directed Message Passing Neural Networks (w-DMPNN). However, this string representation effectively stores all the necessary data to form a valid weighted directed graph structure from polymer data. Unlike other representations where polymer tasks may fail, this representation significantly enhances the accuracy of polymer representation and training."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Graph Visualization<a id=\"datavis\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although we have all the necessary data within a string representation, we have not yet formed a weighted directed graph. Creating the weighted directed graph from this representation will be part of the featurization process. For our convenience, we will convert this string data into a graph object and visualize it. Converting the graph data is straightforward once the string format is parsed.\n",
    "\n",
    "1. The first part of the representation is used to form a simple graph by assigning elements to nodes and bonds to edges.\n",
    "2. The second part of the representation provides the weights for the monomer elements.\n",
    "3. The third part of the representation assigns direction and weights to the formed bonds.\n",
    "\n",
    "*Note - We have to setup a logic to handle the reverse bond as well.*\n",
    "\n",
    "The following code block implements above steps. ( For better visualization, we are adding color annotation to element nodes )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rev_bonds(bond_str):\n",
    "  \"\"\"creates reverse bonds of the existing bonds between open bonds\"\"\"\n",
    "  rev_str = str(bond_str.split(\"-\")[-1])+\"-\"+str(bond_str.split(\"-\")[0])\n",
    "  return rev_str\n",
    "\n",
    "# creating colour mapping for different atoms\n",
    "COLOR_MAPPER ={\n",
    "    \"C\" : \"green\",\n",
    "    \"F\" : \"blue\" ,\n",
    "    \"O\" : \"yellow\"\n",
    "}\n",
    "\n",
    "\n",
    "def smiles_to_graph(smiles_string):\n",
    "    \"\"\"Converts a SMILES string to a weighted, directed NetworkX graph.\"\"\"\n",
    "\n",
    "    # >>> Parsing the string values to different segments\n",
    "\n",
    "    # Split the SMILES string by the pipe (|) delimiter\n",
    "    parts = smiles_string.split('|')\n",
    "    node_colors = []\n",
    "\n",
    "    # Extract the SMILES representation of monomers (before the pipe)\n",
    "    monomer_smiles = parts[0]\n",
    "\n",
    "    # Extracting connection bond details from string representation\n",
    "    bonds_strs= parts[-1].split(\"<\")[1:]\n",
    "\n",
    "    # >>> Structuring the input properly \n",
    "\n",
    "    # creating dictionary of bonds in both directions\n",
    "    bond_dict={ k.split(\":\")[0]: k.split(\":\")[1] for k in bonds_strs }\n",
    "    rev_bond_dict={ rev_bonds(bond_val):bond_wei for (bond_val,bond_wei) in bond_dict.items() }\n",
    "    bond_dict.update(rev_bond_dict)\n",
    "\n",
    "    node_labels = {}\n",
    "\n",
    "    # >>> Handling graph generation and weight assignment \n",
    "\n",
    "    # Create an empty directed graph\n",
    "    G = nx.DiGraph()\n",
    "\n",
    "    # Process the monomer SMILES string using RDKit\n",
    "    mol = Chem.MolFromSmiles(monomer_smiles)\n",
    "    atoms = mol.GetAtoms()\n",
    "\n",
    "    updater = 1\n",
    "\n",
    "    # Add nodes to the graph based on atom indices\n",
    "    for atom in atoms:\n",
    "      if (atom.GetSymbol() == \"*\"):\n",
    "        # adding wild card atoms and assigning labels with it\n",
    "        G.add_node(atom.GetIdx())\n",
    "        node_labels[atom.GetIdx()] = f\"*{updater}\"\n",
    "        node_colors.append(\"gray\")\n",
    "        updater += 1\n",
    "      else:\n",
    "        G.add_node(atom.GetIdx())\n",
    "        node_labels[atom.GetIdx()] = f\"{atom.GetSymbol()}\"\n",
    "        node_colors.append(COLOR_MAPPER[f\"{atom.GetSymbol()}\"])\n",
    "\n",
    "\n",
    "\n",
    "    # Process edges (bonds) and weights\n",
    "    for bond in mol.GetBonds():\n",
    "        source = bond.GetBeginAtomIdx()\n",
    "        target = bond.GetEndAtomIdx()\n",
    "        G.add_edge(source, target, weight=1.0, label=\"1.0\")\n",
    "        G.add_edge(target, source, weight=1.0, label=\"1.0\")\n",
    "\n",
    "    # assigning new connected edges to the graph\n",
    "    for bond_val, wei_val in bond_dict.items():\n",
    "      start = \"*\"+bond_val.split(\"-\")[0]\n",
    "      end = \"*\"+bond_val.split(\"-\")[1]\n",
    "      start_idx, end_idx = None,None\n",
    "      for idx,val in node_labels.items():\n",
    "        if val == start:\n",
    "          start_idx = idx\n",
    "        elif val == end:\n",
    "          end_idx = idx\n",
    "      # handling self edge case\n",
    "      if start == end and start != None:\n",
    "        G.add_edge(start_idx,start_idx, weight=wei_val, label=f\"{wei_val}\")\n",
    "      else:\n",
    "        if start_idx == None: raise ValueError(f\"Index not found for start wildcard {start}\")\n",
    "        if end_idx == None: raise ValueError(f\"Index not found for end wildcard {end}\")\n",
    "        G.add_edge(start_idx,end_idx, weight=wei_val, label=f\"{wei_val}\")\n",
    "\n",
    "\n",
    "    return G, node_labels, node_colors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the above function we are parsing and processing the representation string in following steps.\n",
    "\n",
    "1. In the initial step, we obtain the indexed SMILES representation by parsing the first element using the \"|\" separator.\n",
    "\n",
    "2. We then extract the fractions from the first and second elements of the parsed list.\n",
    "\n",
    "3. The last element is the string representing the polymer rules, from which we extract the index and weight of the bonds.\n",
    "\n",
    "4. A directional graph is initialized, and the element data is assigned as node values.\n",
    "\n",
    "5. Initially, bonds from the SMILES string are added with weights of 1.\n",
    "\n",
    "6. Finally, the indexed bonds from the polymer rules are added to the main graph."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Along with the formation of the graph object, labels and color annotations were added to facilitate distinct representations. In the following code snippet, we will set up a function to generate the graph display it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw_graph(smiles_string, figsize=(8,8)):\n",
    "  \"\"\"This function draws the graph with edge-labels and colors\"\"\"\n",
    "  G, node_labels, node_colors  = smiles_to_graph(smiles_string)\n",
    "\n",
    "  plt.figure(figsize=figsize)\n",
    "  # Create visual representation using Matplotlib and NetworkX\n",
    "  pos = nx.spring_layout(G)  # Use a layout algorithm\n",
    "  # node_labels = {node: node for node in G.nodes()}\n",
    "\n",
    "  # Customize edge labels to display weights\n",
    "  edge_labels = {(source, target): data['label'] for source, target, data in G.edges.data()}\n",
    "\n",
    "  nx.draw_networkx_nodes(G, pos, node_color=node_colors, node_shape='o')\n",
    "  nx.draw_networkx_edges(G, pos, edgelist=G.edges(), arrows=True, width=2, alpha=0.7, edge_color=\"black\")\n",
    "  nx.draw_networkx_labels(G, pos, labels=node_labels, font_size=12)\n",
    "  nx.draw_networkx_edge_labels(G, pos, edge_labels=edge_labels)\n",
    "\n",
    "  plt.axis('off')\n",
    "  plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now as we have completed the functions for graph formation and visualization, we can form the graph and show it from our string representation.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_mols([molA, molB], [\"Monomer A\", \"Monomer B\"], figsize=(6,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For Reference above is our input monomer molecules and below are the graph representations of different stoichiometry for the resultant polymer."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Graph representation for polymer variations <a id=\"datavis1\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(polymer_alternate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(polymer_block)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(polymer_random)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Graph representation for polymer variations with self-edge "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(polymer_block_w_self_edge, figsize=(10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(polymer_random_w_self_edge, figsize=(10,10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this manner we converted monomer SMILES into different polymer graphs based on the stoichiometry variations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Summary <a id=\"sum\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial delves into the concept of using weighted directed graphs to represent polymers. Here's a breakdown of the key points:\n",
    "\n",
    "- **Why Weighted Directed Graphs?**\n",
    "\n",
    "Traditional methods for representing polymers often rely on repetitive monomer representations, which can be inefficient and unrealistic for complex structures.\n",
    "Weighted directed graphs offer a more efficient and accurate way to capture the repeating patterns of different monomers at various open bonds.\n",
    "\n",
    "- **Building the Representation:**\n",
    "\n",
    "    **1. Monomer Conversion:**\n",
    "\n",
    "    - Functional groups are removed from the monomers to create open bonds.\n",
    "    - SMILES notation with virtual atoms (At) is used to represent the open bonds.\n",
    "    - SMARTS notation is employed to programmatically convert the monomers.\n",
    "\n",
    "    **2. Weight Assignment:**\n",
    "\n",
    "    - Weights can be assigned to:\n",
    "        - Individual monomer atoms (representing the proportion of each monomer in the polymer)\n",
    "        - Bonds (reflecting the probability of specific connections between open bonds)\n",
    "    - Weights are influenced by the polymer's stoichiometry (arrangement of monomers).\n",
    "\n",
    "    **3. Polymer Rule String:**\n",
    "\n",
    "    - This string encodes the weight distribution for different bond formations.\n",
    "    - It includes information about:\n",
    "        - Open bond indices involved in the connection\n",
    "        - Weights for both forward and reverse bond formation\n",
    "\n",
    "- **Weight Calculation for Different Stoichiometries:**\n",
    "\n",
    "    - Alternating Copolymer: Bonds between alternating monomers (A-B and B-A) have equal weights (typically 0.5).\n",
    "    - Block Copolymer:\n",
    "        - Weights depend on the arrangement of monomers.\n",
    "        - Homogeneous bonds (A-A or B-B) have higher weights compared to heterogeneous bonds (A-B).\n",
    "        - Self-edges (connections within the same monomer structure) can further influence weight distribution.\n",
    "    - Random Copolymer:\n",
    "        - Weights represent the probability of connections between open bonds.\n",
    "        - With self-edges, all bonds have an equal weight (typically 0.25).\n",
    "        - Without self-edges, weights differ for connections within the same monomer vs. between different monomers.\n",
    "\n",
    "- **Data Composition:**\n",
    "\n",
    "    The final step involves combining the generated data:\n",
    "\n",
    "    - 0Monomer wireframe with indexed open bonds\n",
    "    - Calculated weights for bonds and elements\n",
    "    - Polymer rule string\n",
    "\n",
    "This integrated data structure effectively represents the polymer chain using a weighted directed graph."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8. Reference <a id=\"ref\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This work is inspired by the research findings of following research paper.\n",
    "\n",
    "1. [Aldeghi, Matteo, and Connor W. Coley. \"A graph representation of molecular ensembles for polymer property prediction.\" Chemical Science 13.35 (2022): 10486-10498.](https://pubs.rsc.org/en/content/articlehtml/2022/sc/d2sc02839e)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Congratulations! Time to join the Community!\n",
    "\n",
    "Congratulations on completing this tutorial notebook! If you enjoyed working through the tutorial, and want to continue working with DeepChem, we encourage you to finish the rest of the tutorials in this series. You can also help the DeepChem community in the following ways:\n",
    "\n",
    "## Star DeepChem on [GitHub](https://github.com/deepchem/deepchem)\n",
    "This helps build awareness of the DeepChem project and the tools for open source drug discovery that we're trying to build.\n",
    "\n",
    "## Join the DeepChem Gitter\n",
    "The DeepChem [Gitter](https://gitter.im/deepchem/Lobby) hosts a number of scientists, developers, and enthusiasts interested in deep learning for the life sciences. Join the conversation!\n",
    "\n",
    "## Join the DeepChem Discord\n",
    "The DeepChem [Discord](https://discord.gg/cGzwCdrUqS) hosts a number of scientists, developers, and enthusiasts interested in deep learning for the life sciences. Join the conversation!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Citing This Tutorial\n",
    "If you found this tutorial useful please consider citing it using the provided BibTeX."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "@manual{Intro1,\n",
    " title={Understanding Weighted Directed Graphs for Polymer Implementation},\n",
    " organization={DeepChem},\n",
    " author={Mohanty, Debasish},\n",
    " howpublished = {\\url{https://github.com/deepchem/deepchem/blob/master/examples/tutorials/Understanding_WDGraphs_for_polymers.ipynb}},\n",
    " year={2024},\n",
    "}"
   ]
  }
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